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Finding the Fourth Proportional to 2,457,846,868,241.90, 3,686,770,302,362.90 and 2,457,846,868,241.90

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Solution

The fourth proportional to 2,457,846,868,241.90, 3,686,770,302,362.90 and 2,457,846,868,241.90 is: 3,686,770,302,362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,846,868,241.90 : 3,686,770,302,362.90 = 2,457,846,868,241.90 : x
  2. Step 2: Convert to fraction form
    2,457,846,868,241.90/3,686,770,302,362.90 = 2,457,846,868,241.90/x
  3. Step 3: Cross multiply
    2,457,846,868,241.90x = 3,686,770,302,362.90 × 2,457,846,868,241.90
  4. Step 4: Simplify right side
    2,457,846,868,241.90x = 9,061,516,841,589,895,860,322,304
  5. Step 5: Solve for x
    x = 9,061,516,841,589,895,860,322,304/2,457,846,868,241.90
  6. Step 6: Final answer
    x = 3,686,770,302,362.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.